Modifying a Mutex<Option<>>

I have a quick stylistic or idiomatic question about Mutex.

Is there a more elegant way to modify the data in fn upper() than using *string = match *string. It seems odd to dereference on both side, but if I don't, I don't know how to handle the <MutexGuard> part of string.

Link to playground

use std::sync::{Mutex};

#[derive(Debug)]
struct SharedFile{
    file: Mutex<Option<String>>
}

impl SharedFile{
    fn new()-> SharedFile{
       SharedFile{
           file: Mutex::new(Some("test".to_owned())),
           //file: Mutex::new(None),
       }
    }

    fn upper(&self){
      let mut string  = self.file.lock().unwrap();

      *string= match *string{
         Some(ref mut x) => Some(x.to_uppercase()),
         None => Some("Empty".to_owned()),
      };

      println!("{:?}", *string);
    }
}

fn main() {
        let shared = SharedFile::new();
        shared.upper();
        println!("{:?}", shared);
}